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91Ó°ÊÓ

Evaluate each expression if w=6,x=0.4,y=12,and z=-3

2z-15x3y

Short Answer

Expert verified

Expression 2z-15x3y results into -8

Step by step solution

01

- Order of simplification

To evaluate any expression involving more than one operation, follow the below order of operations:

  • First evaluate expressions inside grouping symbols like parentheses ( ) or brackets [ ].
  • Evaluate the exponents.
  • Perform Multiplication and division from left to right.
  • Perform addition and subtraction from left to right.
02

- Substitute given values

Substitute 12for y, -3for zand 0.4forx into given expression

2z−15x3y=2−3−150.4312

03

- Simplify 2-3-150.4312

  • First multiply 2 with -3and 15 with 0.4then subtract two terms of numerator.
  • Multiply 3 with y
  • Finally divide resulting numerator term with denominator
    2−3−150.4312=−6−632=−12×23=−8
    Thus, value of 2z−15x3yis -8

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